Similarity solutions to unsteady pseudoplastic flow near a moving wall

Robin, William

Abstract

It is shown that similarity solutions to a partial differential boundary value
problem for power law fluids may be generated by the application of a multi-parameter
stretching group. Furthermore, the resulting ordinary differential
boundary value problem arising from the initial group analysis is itself transformed
to an initial value problem by the application of a further stretching (one-parameter)
group transformation. The resultant initial value problem is solved by
a standard forward marching method

Citation

Robin, W. (2014). Similarity solutions to unsteady pseudoplastic flow near a moving wall. International Mathematical Forum, 9(31), 1465-1475. https://doi.org/10.12988/imf.2014.418

• Journal Article Type: Article
• Publication Date: 2014
• Deposit Date: Nov 24, 2014
• Publicly Available Date: Dec 31, 2014
• Publisher: Hikari
• Peer Reviewed: Peer Reviewed
• Volume: 9
• Issue: 31
• Pages: 1465-1475
• DOI: https://doi.org/10.12988/imf.2014.418
• Keywords: Partial differential equations; boundary value problems; stretching groups; similarity analysis
• Public URL: http://researchrepository.napier.ac.uk/id/eprint/7315
• Publisher URL: http://dx.doi.org/10.12988/imf.2014.418